A quality inspector is labeling the products at production line with labels either "non- conforming" or "conforming." In order to estimate the proportion of non-conforming products, a random sample of...

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Extracted text: A quality inspector is labeling the products at production line with labels either "non- conforming" or "conforming." In order to estimate the proportion of non-conforming products, a random sample of 100 products are selected from the production line and 10 are found to be non-conforming products. To monitor the quality of the production line, another set of 100 samples is taken and observed that only 6 non-conforming products are found. (a) Give a 95% confidence interval on P - P2, where P, is the population proportion non- conforming before improvement, and P2 is the proportion non-conforming after improvement. (b) Is there information in the confidence interval found in (a) that would suggest that P, > P2? Explain.